Heat oven to 350°F. In a medium bowl, combine cookie mix, butter, egg and coconut extract. Stir until dough forms, hand kneading if necessary.
Roll out the dough to 1/4 –inch thickness. Using Easter cookie cutters, cut out eggs, bunnies and flowers. Place cookies 2 inches apart onto greased cookie sheets.
Bake cookies 8-9 minutes. Cool completely on the cookie sheet before transferring to a cooling rack.
While cookies are cooling, make the glaze. Combine powdered sugar and coconut milk until smooth and pourable.
Transfer into a piping bag and glaze cooled cookies.